Answer:
36years
Step-by-step explanation:
Let charity present age be x
Charity daughter present age be y
Charity husband present age be z
If the sum of their ages ten years to come is 117, then;
10+x+10+y+10+z = 117
30+x+y+z = 117
x+y+z = 87 ... 1
If charity is four times as old as her daughter, then;
x = 4y
y = x/4 ... 2
If she is also six years younger than her husband, then;
x = z- 6
z = x+6 .. 3
Substitute 2 and 3 into 1;
x + x/4 + (x+6) = 87
Multiply through by 4
4x + x + 4(x+6) = 4(87)
5x+4x+24 = 348
9x = 348 - 24
9x = 324
x = 324/9
x = 36
hence Charity is 36years old today
Answer:
Step-by-step explanation:
y = -4x + 7
perp. 1/4
y - 3 = 1/4(x + 8)
y - 3 = 1/4x + 2
y = 1/4x + 5
The main reason behind this is using properties of logarithm .
like
when solving
There you use multiplication property and make addition to multiplication then you get extraneous solution because in plenty of cases they occur
like
But
Same happens in case of logarithm
The water will last for 3 days
<em><u>Solution:</u></em>
Given that, village having a population of 4000, requires 150 litres of water per head per day
<em><u>Let us first find the volume of tank</u></em>
The tank measuring 20m x 15m x 6m
Length = 20 m
Breadth = 15 m
Height = 6 m
Thus volume of tank is 1800 cubic meter
From given,
Water required per person per day = 150 liters
<em><u>Therefore, water required for 4000 people per day is:</u></em>
Convert to meters
<em><u>How many days will the water of this tank last?</u></em>
Thus the water will last for 3 days
subsitute x = 6 into the lengths
3(6) -7
18 - 7
11cm
(6) + 5
11cm
therefore it is a square when x = 6 because the sides are all equal
